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Finding the Fourth Proportional to 162.71, 224.55 and 89.02

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Solution

The fourth proportional to 162.71, 224.55 and 89.02 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.71 : 224.55 = 89.02 : x
  2. Step 2: Convert to fraction form
    162.71/224.55 = 89.02/x
  3. Step 3: Cross multiply
    162.71x = 224.55 × 89.02
  4. Step 4: Simplify right side
    162.71x = 19,990.10
  5. Step 5: Solve for x
    x = 19,990.10/162.71
  6. Step 6: Final answer
    x = 122.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.