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Finding the Fourth Proportional to 99.90, 150.62 and 86.30

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Solution

The fourth proportional to 99.90, 150.62 and 86.30 is: 130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 150.62 = 86.30 : x
  2. Step 2: Convert to fraction form
    99.90/150.62 = 86.30/x
  3. Step 3: Cross multiply
    99.90x = 150.62 × 86.30
  4. Step 4: Simplify right side
    99.90x = 12,997.32
  5. Step 5: Solve for x
    x = 12,997.32/99.90
  6. Step 6: Final answer
    x = 130.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.