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Finding the Fourth Proportional to 409.23, 565.47 and 316.20

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Solution

The fourth proportional to 409.23, 565.47 and 316.20 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 565.47 = 316.20 : x
  2. Step 2: Convert to fraction form
    409.23/565.47 = 316.20/x
  3. Step 3: Cross multiply
    409.23x = 565.47 × 316.20
  4. Step 4: Simplify right side
    409.23x = 178,801.61
  5. Step 5: Solve for x
    x = 178,801.61/409.23
  6. Step 6: Final answer
    x = 436.92

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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.