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Finding the Fourth Proportional to 313.71, 469.95 and 294.57

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Solution

The fourth proportional to 313.71, 469.95 and 294.57 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 469.95 = 294.57 : x
  2. Step 2: Convert to fraction form
    313.71/469.95 = 294.57/x
  3. Step 3: Cross multiply
    313.71x = 469.95 × 294.57
  4. Step 4: Simplify right side
    313.71x = 138,433.17
  5. Step 5: Solve for x
    x = 138,433.17/313.71
  6. Step 6: Final answer
    x = 441.28

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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.