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Finding the Fourth Proportional to 176.16, 265.42 and 147.84

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Solution

The fourth proportional to 176.16, 265.42 and 147.84 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 265.42 = 147.84 : x
  2. Step 2: Convert to fraction form
    176.16/265.42 = 147.84/x
  3. Step 3: Cross multiply
    176.16x = 265.42 × 147.84
  4. Step 4: Simplify right side
    176.16x = 39,239.69
  5. Step 5: Solve for x
    x = 39,239.69/176.16
  6. Step 6: Final answer
    x = 222.75

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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.