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Finding the Fourth Proportional to 347.18, 478.95 and 215.96

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Solution

The fourth proportional to 347.18, 478.95 and 215.96 is: 297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 478.95 = 215.96 : x
  2. Step 2: Convert to fraction form
    347.18/478.95 = 215.96/x
  3. Step 3: Cross multiply
    347.18x = 478.95 × 215.96
  4. Step 4: Simplify right side
    347.18x = 103,431.65
  5. Step 5: Solve for x
    x = 103,431.65/347.18
  6. Step 6: Final answer
    x = 297.92

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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.