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Finding the Fourth Proportional to 177.08, 264.40 and 157.59

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Solution

The fourth proportional to 177.08, 264.40 and 157.59 is: 235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 264.40 = 157.59 : x
  2. Step 2: Convert to fraction form
    177.08/264.40 = 157.59/x
  3. Step 3: Cross multiply
    177.08x = 264.40 × 157.59
  4. Step 4: Simplify right side
    177.08x = 41,666.40
  5. Step 5: Solve for x
    x = 41,666.40/177.08
  6. Step 6: Final answer
    x = 235.30

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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.