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Finding the Fourth Proportional to 99.90, 149.88 and 56.58

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Solution

The fourth proportional to 99.90, 149.88 and 56.58 is: 84.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 149.88 = 56.58 : x
  2. Step 2: Convert to fraction form
    99.90/149.88 = 56.58/x
  3. Step 3: Cross multiply
    99.90x = 149.88 × 56.58
  4. Step 4: Simplify right side
    99.90x = 8,480.21
  5. Step 5: Solve for x
    x = 8,480.21/99.90
  6. Step 6: Final answer
    x = 84.89

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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.