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Finding the Fourth Proportional to 354.40, 531.28 and 257.12

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Solution

The fourth proportional to 354.40, 531.28 and 257.12 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 531.28 = 257.12 : x
  2. Step 2: Convert to fraction form
    354.40/531.28 = 257.12/x
  3. Step 3: Cross multiply
    354.40x = 531.28 × 257.12
  4. Step 4: Simplify right side
    354.40x = 136,602.71
  5. Step 5: Solve for x
    x = 136,602.71/354.40
  6. Step 6: Final answer
    x = 385.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.