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Finding the Fourth Proportional to 308.84, 460.54 and 306.07

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Solution

The fourth proportional to 308.84, 460.54 and 306.07 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 460.54 = 306.07 : x
  2. Step 2: Convert to fraction form
    308.84/460.54 = 306.07/x
  3. Step 3: Cross multiply
    308.84x = 460.54 × 306.07
  4. Step 4: Simplify right side
    308.84x = 140,955.18
  5. Step 5: Solve for x
    x = 140,955.18/308.84
  6. Step 6: Final answer
    x = 456.40

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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.