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Finding the Fourth Proportional to 469.13, 702.27 and 313.81

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Solution

The fourth proportional to 469.13, 702.27 and 313.81 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 702.27 = 313.81 : x
  2. Step 2: Convert to fraction form
    469.13/702.27 = 313.81/x
  3. Step 3: Cross multiply
    469.13x = 702.27 × 313.81
  4. Step 4: Simplify right side
    469.13x = 220,377.59
  5. Step 5: Solve for x
    x = 220,377.59/469.13
  6. Step 6: Final answer
    x = 469.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.