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Finding the Fourth Proportional to 152.10, 209.58 and 140.88

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Solution

The fourth proportional to 152.10, 209.58 and 140.88 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 209.58 = 140.88 : x
  2. Step 2: Convert to fraction form
    152.10/209.58 = 140.88/x
  3. Step 3: Cross multiply
    152.10x = 209.58 × 140.88
  4. Step 4: Simplify right side
    152.10x = 29,526.94
  5. Step 5: Solve for x
    x = 29,526.94/152.10
  6. Step 6: Final answer
    x = 194.13

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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.