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Finding the Fourth Proportional to 176.10, 265.56 and 157.20

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Solution

The fourth proportional to 176.10, 265.56 and 157.20 is: 237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 265.56 = 157.20 : x
  2. Step 2: Convert to fraction form
    176.10/265.56 = 157.20/x
  3. Step 3: Cross multiply
    176.10x = 265.56 × 157.20
  4. Step 4: Simplify right side
    176.10x = 41,746.03
  5. Step 5: Solve for x
    x = 41,746.03/176.10
  6. Step 6: Final answer
    x = 237.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.