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Finding the Fourth Proportional to 347.53, 477.04 and 316.26

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Solution

The fourth proportional to 347.53, 477.04 and 316.26 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.53 : 477.04 = 316.26 : x
  2. Step 2: Convert to fraction form
    347.53/477.04 = 316.26/x
  3. Step 3: Cross multiply
    347.53x = 477.04 × 316.26
  4. Step 4: Simplify right side
    347.53x = 150,868.81
  5. Step 5: Solve for x
    x = 150,868.81/347.53
  6. Step 6: Final answer
    x = 434.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.