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Finding the Fourth Proportional to 108.70, 152.50 and 108.70

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Solution

The fourth proportional to 108.70, 152.50 and 108.70 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 152.50 = 108.70 : x
  2. Step 2: Convert to fraction form
    108.70/152.50 = 108.70/x
  3. Step 3: Cross multiply
    108.70x = 152.50 × 108.70
  4. Step 4: Simplify right side
    108.70x = 16,576.75
  5. Step 5: Solve for x
    x = 16,576.75/108.70
  6. Step 6: Final answer
    x = 152.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.