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Finding the Fourth Proportional to 529.12, 729.28 and 371.80

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Solution

The fourth proportional to 529.12, 729.28 and 371.80 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.12 : 729.28 = 371.80 : x
  2. Step 2: Convert to fraction form
    529.12/729.28 = 371.80/x
  3. Step 3: Cross multiply
    529.12x = 729.28 × 371.80
  4. Step 4: Simplify right side
    529.12x = 271,146.30
  5. Step 5: Solve for x
    x = 271,146.30/529.12
  6. Step 6: Final answer
    x = 512.45

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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.