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Finding the Fourth Proportional to 313.18, 471.66 and 264.74

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Solution

The fourth proportional to 313.18, 471.66 and 264.74 is: 398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 471.66 = 264.74 : x
  2. Step 2: Convert to fraction form
    313.18/471.66 = 264.74/x
  3. Step 3: Cross multiply
    313.18x = 471.66 × 264.74
  4. Step 4: Simplify right side
    313.18x = 124,863.92
  5. Step 5: Solve for x
    x = 124,863.92/313.18
  6. Step 6: Final answer
    x = 398.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.