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Finding the Fourth Proportional to 409.81, 565.58 and 235.19

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Solution

The fourth proportional to 409.81, 565.58 and 235.19 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.81 : 565.58 = 235.19 : x
  2. Step 2: Convert to fraction form
    409.81/565.58 = 235.19/x
  3. Step 3: Cross multiply
    409.81x = 565.58 × 235.19
  4. Step 4: Simplify right side
    409.81x = 133,018.76
  5. Step 5: Solve for x
    x = 133,018.76/409.81
  6. Step 6: Final answer
    x = 324.59

Related Problems

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.