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Finding the Fourth Proportional to 347.29, 478.65 and 307.06

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Solution

The fourth proportional to 347.29, 478.65 and 307.06 is: 423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 478.65 = 307.06 : x
  2. Step 2: Convert to fraction form
    347.29/478.65 = 307.06/x
  3. Step 3: Cross multiply
    347.29x = 478.65 × 307.06
  4. Step 4: Simplify right side
    347.29x = 146,974.27
  5. Step 5: Solve for x
    x = 146,974.27/347.29
  6. Step 6: Final answer
    x = 423.20

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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.