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Finding the Fourth Proportional to 390.61, 585.96 and 116.70

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Solution

The fourth proportional to 390.61, 585.96 and 116.70 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.61 : 585.96 = 116.70 : x
  2. Step 2: Convert to fraction form
    390.61/585.96 = 116.70/x
  3. Step 3: Cross multiply
    390.61x = 585.96 × 116.70
  4. Step 4: Simplify right side
    390.61x = 68,381.53
  5. Step 5: Solve for x
    x = 68,381.53/390.61
  6. Step 6: Final answer
    x = 175.06

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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.