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Finding the Fourth Proportional to 177.47, 264.80 and 176.45

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Solution

The fourth proportional to 177.47, 264.80 and 176.45 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.47 : 264.80 = 176.45 : x
  2. Step 2: Convert to fraction form
    177.47/264.80 = 176.45/x
  3. Step 3: Cross multiply
    177.47x = 264.80 × 176.45
  4. Step 4: Simplify right side
    177.47x = 46,723.96
  5. Step 5: Solve for x
    x = 46,723.96/177.47
  6. Step 6: Final answer
    x = 263.28

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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.