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Finding the Fourth Proportional to 177.65, 264.88 and 177.30

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Solution

The fourth proportional to 177.65, 264.88 and 177.30 is: 264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 264.88 = 177.30 : x
  2. Step 2: Convert to fraction form
    177.65/264.88 = 177.30/x
  3. Step 3: Cross multiply
    177.65x = 264.88 × 177.30
  4. Step 4: Simplify right side
    177.65x = 46,963.22
  5. Step 5: Solve for x
    x = 46,963.22/177.65
  6. Step 6: Final answer
    x = 264.36

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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.