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Finding the Fourth Proportional to 141.52, 210.48 and 141.04

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Solution

The fourth proportional to 141.52, 210.48 and 141.04 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.52 : 210.48 = 141.04 : x
  2. Step 2: Convert to fraction form
    141.52/210.48 = 141.04/x
  3. Step 3: Cross multiply
    141.52x = 210.48 × 141.04
  4. Step 4: Simplify right side
    141.52x = 29,686.10
  5. Step 5: Solve for x
    x = 29,686.10/141.52
  6. Step 6: Final answer
    x = 209.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.