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Finding the Fourth Proportional to 461.16, 690.48 and 278.28

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Solution

The fourth proportional to 461.16, 690.48 and 278.28 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 690.48 = 278.28 : x
  2. Step 2: Convert to fraction form
    461.16/690.48 = 278.28/x
  3. Step 3: Cross multiply
    461.16x = 690.48 × 278.28
  4. Step 4: Simplify right side
    461.16x = 192,146.77
  5. Step 5: Solve for x
    x = 192,146.77/461.16
  6. Step 6: Final answer
    x = 416.66

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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.