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Finding the Fourth Proportional to 314.61, 469.34 and 306.12

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Solution

The fourth proportional to 314.61, 469.34 and 306.12 is: 456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 469.34 = 306.12 : x
  2. Step 2: Convert to fraction form
    314.61/469.34 = 306.12/x
  3. Step 3: Cross multiply
    314.61x = 469.34 × 306.12
  4. Step 4: Simplify right side
    314.61x = 143,675.74
  5. Step 5: Solve for x
    x = 143,675.74/314.61
  6. Step 6: Final answer
    x = 456.68

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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.