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Finding the Fourth Proportional to 347.32, 518.02 and 316.35

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Solution

The fourth proportional to 347.32, 518.02 and 316.35 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.32 : 518.02 = 316.35 : x
  2. Step 2: Convert to fraction form
    347.32/518.02 = 316.35/x
  3. Step 3: Cross multiply
    347.32x = 518.02 × 316.35
  4. Step 4: Simplify right side
    347.32x = 163,875.63
  5. Step 5: Solve for x
    x = 163,875.63/347.32
  6. Step 6: Final answer
    x = 471.83

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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.