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Finding the Fourth Proportional to 314.52, 469.21 and 306.46

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Solution

The fourth proportional to 314.52, 469.21 and 306.46 is: 457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 469.21 = 306.46 : x
  2. Step 2: Convert to fraction form
    314.52/469.21 = 306.46/x
  3. Step 3: Cross multiply
    314.52x = 469.21 × 306.46
  4. Step 4: Simplify right side
    314.52x = 143,792.56
  5. Step 5: Solve for x
    x = 143,792.56/314.52
  6. Step 6: Final answer
    x = 457.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.