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Finding the Fourth Proportional to 176.99, 264.06 and 153.90

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Solution

The fourth proportional to 176.99, 264.06 and 153.90 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 264.06 = 153.90 : x
  2. Step 2: Convert to fraction form
    176.99/264.06 = 153.90/x
  3. Step 3: Cross multiply
    176.99x = 264.06 × 153.90
  4. Step 4: Simplify right side
    176.99x = 40,638.83
  5. Step 5: Solve for x
    x = 40,638.83/176.99
  6. Step 6: Final answer
    x = 229.62

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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.