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Finding the Fourth Proportional to 309.14, 460.58 and 306.10

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Solution

The fourth proportional to 309.14, 460.58 and 306.10 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 460.58 = 306.10 : x
  2. Step 2: Convert to fraction form
    309.14/460.58 = 306.10/x
  3. Step 3: Cross multiply
    309.14x = 460.58 × 306.10
  4. Step 4: Simplify right side
    309.14x = 140,983.54
  5. Step 5: Solve for x
    x = 140,983.54/309.14
  6. Step 6: Final answer
    x = 456.05

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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.