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Finding the Fourth Proportional to 98.57, 147.65 and 97.35

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Solution

The fourth proportional to 98.57, 147.65 and 97.35 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.57 : 147.65 = 97.35 : x
  2. Step 2: Convert to fraction form
    98.57/147.65 = 97.35/x
  3. Step 3: Cross multiply
    98.57x = 147.65 × 97.35
  4. Step 4: Simplify right side
    98.57x = 14,373.79
  5. Step 5: Solve for x
    x = 14,373.79/98.57
  6. Step 6: Final answer
    x = 145.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.