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Finding the Fourth Proportional to 306.79, 456.71 and 305.17

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Solution

The fourth proportional to 306.79, 456.71 and 305.17 is: 454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.79 : 456.71 = 305.17 : x
  2. Step 2: Convert to fraction form
    306.79/456.71 = 305.17/x
  3. Step 3: Cross multiply
    306.79x = 456.71 × 305.17
  4. Step 4: Simplify right side
    306.79x = 139,374.19
  5. Step 5: Solve for x
    x = 139,374.19/306.79
  6. Step 6: Final answer
    x = 454.30

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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.