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Finding the Fourth Proportional to 468.22, 702.38 and 160.10

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Solution

The fourth proportional to 468.22, 702.38 and 160.10 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 702.38 = 160.10 : x
  2. Step 2: Convert to fraction form
    468.22/702.38 = 160.10/x
  3. Step 3: Cross multiply
    468.22x = 702.38 × 160.10
  4. Step 4: Simplify right side
    468.22x = 112,451.04
  5. Step 5: Solve for x
    x = 112,451.04/468.22
  6. Step 6: Final answer
    x = 240.17

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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.