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Finding the Fourth Proportional to 322.04, 479.36 and 307.10

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Solution

The fourth proportional to 322.04, 479.36 and 307.10 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.04 : 479.36 = 307.10 : x
  2. Step 2: Convert to fraction form
    322.04/479.36 = 307.10/x
  3. Step 3: Cross multiply
    322.04x = 479.36 × 307.10
  4. Step 4: Simplify right side
    322.04x = 147,213.42
  5. Step 5: Solve for x
    x = 147,213.42/322.04
  6. Step 6: Final answer
    x = 457.12

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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.