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Finding the Fourth Proportional to 219.98, 328.50 and 176.70

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Solution

The fourth proportional to 219.98, 328.50 and 176.70 is: 263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 328.50 = 176.70 : x
  2. Step 2: Convert to fraction form
    219.98/328.50 = 176.70/x
  3. Step 3: Cross multiply
    219.98x = 328.50 × 176.70
  4. Step 4: Simplify right side
    219.98x = 58,045.95
  5. Step 5: Solve for x
    x = 58,045.95/219.98
  6. Step 6: Final answer
    x = 263.87

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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.