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Finding the Fourth Proportional to 176.47, 264.30 and 99.31

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Solution

The fourth proportional to 176.47, 264.30 and 99.31 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 264.30 = 99.31 : x
  2. Step 2: Convert to fraction form
    176.47/264.30 = 99.31/x
  3. Step 3: Cross multiply
    176.47x = 264.30 × 99.31
  4. Step 4: Simplify right side
    176.47x = 26,247.63
  5. Step 5: Solve for x
    x = 26,247.63/176.47
  6. Step 6: Final answer
    x = 148.74

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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.