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Finding the Fourth Proportional to 611.12, 916.18 and 302.83

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Solution

The fourth proportional to 611.12, 916.18 and 302.83 is: 453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.12 : 916.18 = 302.83 : x
  2. Step 2: Convert to fraction form
    611.12/916.18 = 302.83/x
  3. Step 3: Cross multiply
    611.12x = 916.18 × 302.83
  4. Step 4: Simplify right side
    611.12x = 277,443.74
  5. Step 5: Solve for x
    x = 277,443.74/611.12
  6. Step 6: Final answer
    x = 453.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.