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Finding the Fourth Proportional to 305.84, 456.85 and 237.20

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Solution

The fourth proportional to 305.84, 456.85 and 237.20 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 456.85 = 237.20 : x
  2. Step 2: Convert to fraction form
    305.84/456.85 = 237.20/x
  3. Step 3: Cross multiply
    305.84x = 456.85 × 237.20
  4. Step 4: Simplify right side
    305.84x = 108,364.82
  5. Step 5: Solve for x
    x = 108,364.82/305.84
  6. Step 6: Final answer
    x = 354.32

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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.