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Finding the Fourth Proportional to 409.53, 565.15 and 223.01

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Solution

The fourth proportional to 409.53, 565.15 and 223.01 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 565.15 = 223.01 : x
  2. Step 2: Convert to fraction form
    409.53/565.15 = 223.01/x
  3. Step 3: Cross multiply
    409.53x = 565.15 × 223.01
  4. Step 4: Simplify right side
    409.53x = 126,034.10
  5. Step 5: Solve for x
    x = 126,034.10/409.53
  6. Step 6: Final answer
    x = 307.75

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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.