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Finding the Fourth Proportional to 320.34, 476.79 and 307.02

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Solution

The fourth proportional to 320.34, 476.79 and 307.02 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 476.79 = 307.02 : x
  2. Step 2: Convert to fraction form
    320.34/476.79 = 307.02/x
  3. Step 3: Cross multiply
    320.34x = 476.79 × 307.02
  4. Step 4: Simplify right side
    320.34x = 146,384.07
  5. Step 5: Solve for x
    x = 146,384.07/320.34
  6. Step 6: Final answer
    x = 456.96

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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.