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Finding the Fourth Proportional to 320.42, 479.70 and 294.90

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Solution

The fourth proportional to 320.42, 479.70 and 294.90 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.42 : 479.70 = 294.90 : x
  2. Step 2: Convert to fraction form
    320.42/479.70 = 294.90/x
  3. Step 3: Cross multiply
    320.42x = 479.70 × 294.90
  4. Step 4: Simplify right side
    320.42x = 141,463.53
  5. Step 5: Solve for x
    x = 141,463.53/320.42
  6. Step 6: Final answer
    x = 441.50

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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.