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Finding the Fourth Proportional to 102.02, 151.94 and 99.64

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Solution

The fourth proportional to 102.02, 151.94 and 99.64 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 151.94 = 99.64 : x
  2. Step 2: Convert to fraction form
    102.02/151.94 = 99.64/x
  3. Step 3: Cross multiply
    102.02x = 151.94 × 99.64
  4. Step 4: Simplify right side
    102.02x = 15,139.30
  5. Step 5: Solve for x
    x = 15,139.30/102.02
  6. Step 6: Final answer
    x = 148.40

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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.