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Finding the Fourth Proportional to 177.10, 264.29 and 156.58

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Solution

The fourth proportional to 177.10, 264.29 and 156.58 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 264.29 = 156.58 : x
  2. Step 2: Convert to fraction form
    177.10/264.29 = 156.58/x
  3. Step 3: Cross multiply
    177.10x = 264.29 × 156.58
  4. Step 4: Simplify right side
    177.10x = 41,382.53
  5. Step 5: Solve for x
    x = 41,382.53/177.10
  6. Step 6: Final answer
    x = 233.67

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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.