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Finding the Fourth Proportional to 176.55, 263.34 and 152.31

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Solution

The fourth proportional to 176.55, 263.34 and 152.31 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.55 : 263.34 = 152.31 : x
  2. Step 2: Convert to fraction form
    176.55/263.34 = 152.31/x
  3. Step 3: Cross multiply
    176.55x = 263.34 × 152.31
  4. Step 4: Simplify right side
    176.55x = 40,109.32
  5. Step 5: Solve for x
    x = 40,109.32/176.55
  6. Step 6: Final answer
    x = 227.18

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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.