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Finding the Fourth Proportional to 343.04, 473.28 and 316.86

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Solution

The fourth proportional to 343.04, 473.28 and 316.86 is: 437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.04 : 473.28 = 316.86 : x
  2. Step 2: Convert to fraction form
    343.04/473.28 = 316.86/x
  3. Step 3: Cross multiply
    343.04x = 473.28 × 316.86
  4. Step 4: Simplify right side
    343.04x = 149,963.50
  5. Step 5: Solve for x
    x = 149,963.50/343.04
  6. Step 6: Final answer
    x = 437.16

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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.