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Finding the Fourth Proportional to 152.01, 209.80 and 99.55

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Solution

The fourth proportional to 152.01, 209.80 and 99.55 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 209.80 = 99.55 : x
  2. Step 2: Convert to fraction form
    152.01/209.80 = 99.55/x
  3. Step 3: Cross multiply
    152.01x = 209.80 × 99.55
  4. Step 4: Simplify right side
    152.01x = 20,885.59
  5. Step 5: Solve for x
    x = 20,885.59/152.01
  6. Step 6: Final answer
    x = 137.40

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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.