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Finding the Fourth Proportional to 176.36, 263.90 and 147.50

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Solution

The fourth proportional to 176.36, 263.90 and 147.50 is: 220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 263.90 = 147.50 : x
  2. Step 2: Convert to fraction form
    176.36/263.90 = 147.50/x
  3. Step 3: Cross multiply
    176.36x = 263.90 × 147.50
  4. Step 4: Simplify right side
    176.36x = 38,924.30
  5. Step 5: Solve for x
    x = 38,924.30/176.36
  6. Step 6: Final answer
    x = 220.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.