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Finding the Fourth Proportional to 162.55, 244.91 and 147.15

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Solution

The fourth proportional to 162.55, 244.91 and 147.15 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.55 : 244.91 = 147.15 : x
  2. Step 2: Convert to fraction form
    162.55/244.91 = 147.15/x
  3. Step 3: Cross multiply
    162.55x = 244.91 × 147.15
  4. Step 4: Simplify right side
    162.55x = 36,037.65
  5. Step 5: Solve for x
    x = 36,037.65/162.55
  6. Step 6: Final answer
    x = 221.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.