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Finding the Fourth Proportional to 176.69, 264.70 and 147.99

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Solution

The fourth proportional to 176.69, 264.70 and 147.99 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.69 : 264.70 = 147.99 : x
  2. Step 2: Convert to fraction form
    176.69/264.70 = 147.99/x
  3. Step 3: Cross multiply
    176.69x = 264.70 × 147.99
  4. Step 4: Simplify right side
    176.69x = 39,172.64
  5. Step 5: Solve for x
    x = 39,172.64/176.69
  6. Step 6: Final answer
    x = 221.70

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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.