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Finding the Fourth Proportional to 358, 537.47 and 306.97

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Solution

The fourth proportional to 358, 537.47 and 306.97 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 537.47 = 306.97 : x
  2. Step 2: Convert to fraction form
    358/537.47 = 306.97/x
  3. Step 3: Cross multiply
    358x = 537.47 × 306.97
  4. Step 4: Simplify right side
    358x = 164,987.17
  5. Step 5: Solve for x
    x = 164,987.17/358
  6. Step 6: Final answer
    x = 460.86

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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.