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Finding the Fourth Proportional to 460.80, 690.86 and 278.15

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Solution

The fourth proportional to 460.80, 690.86 and 278.15 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 690.86 = 278.15 : x
  2. Step 2: Convert to fraction form
    460.80/690.86 = 278.15/x
  3. Step 3: Cross multiply
    460.80x = 690.86 × 278.15
  4. Step 4: Simplify right side
    460.80x = 192,163.74
  5. Step 5: Solve for x
    x = 192,163.74/460.80
  6. Step 6: Final answer
    x = 417.02

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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.