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Finding the Fourth Proportional to 387.24, 577.56 and 349.26

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Solution

The fourth proportional to 387.24, 577.56 and 349.26 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.24 : 577.56 = 349.26 : x
  2. Step 2: Convert to fraction form
    387.24/577.56 = 349.26/x
  3. Step 3: Cross multiply
    387.24x = 577.56 × 349.26
  4. Step 4: Simplify right side
    387.24x = 201,718.61
  5. Step 5: Solve for x
    x = 201,718.61/387.24
  6. Step 6: Final answer
    x = 520.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.