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Finding the Fourth Proportional to 99.40, 148.99 and 45.30

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Solution

The fourth proportional to 99.40, 148.99 and 45.30 is: 67.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.40 : 148.99 = 45.30 : x
  2. Step 2: Convert to fraction form
    99.40/148.99 = 45.30/x
  3. Step 3: Cross multiply
    99.40x = 148.99 × 45.30
  4. Step 4: Simplify right side
    99.40x = 6,749.02
  5. Step 5: Solve for x
    x = 6,749.02/99.40
  6. Step 6: Final answer
    x = 67.90

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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.