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Finding the Fourth Proportional to 419.31, 578.88 and 320.76

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Solution

The fourth proportional to 419.31, 578.88 and 320.76 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 578.88 = 320.76 : x
  2. Step 2: Convert to fraction form
    419.31/578.88 = 320.76/x
  3. Step 3: Cross multiply
    419.31x = 578.88 × 320.76
  4. Step 4: Simplify right side
    419.31x = 185,681.55
  5. Step 5: Solve for x
    x = 185,681.55/419.31
  6. Step 6: Final answer
    x = 442.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.