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Finding the Fourth Proportional to 354.17, 532.06 and 307.19

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Solution

The fourth proportional to 354.17, 532.06 and 307.19 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.17 : 532.06 = 307.19 : x
  2. Step 2: Convert to fraction form
    354.17/532.06 = 307.19/x
  3. Step 3: Cross multiply
    354.17x = 532.06 × 307.19
  4. Step 4: Simplify right side
    354.17x = 163,443.51
  5. Step 5: Solve for x
    x = 163,443.51/354.17
  6. Step 6: Final answer
    x = 461.48

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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.