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Finding the Fourth Proportional to 319.19, 478.71 and 88.11

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Solution

The fourth proportional to 319.19, 478.71 and 88.11 is: 132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 478.71 = 88.11 : x
  2. Step 2: Convert to fraction form
    319.19/478.71 = 88.11/x
  3. Step 3: Cross multiply
    319.19x = 478.71 × 88.11
  4. Step 4: Simplify right side
    319.19x = 42,179.14
  5. Step 5: Solve for x
    x = 42,179.14/319.19
  6. Step 6: Final answer
    x = 132.15

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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.