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Finding the Fourth Proportional to 895.19, 1,342.74 and 278.85

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Solution

The fourth proportional to 895.19, 1,342.74 and 278.85 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.19 : 1,342.74 = 278.85 : x
  2. Step 2: Convert to fraction form
    895.19/1,342.74 = 278.85/x
  3. Step 3: Cross multiply
    895.19x = 1,342.74 × 278.85
  4. Step 4: Simplify right side
    895.19x = 374,414.94
  5. Step 5: Solve for x
    x = 374,414.94/895.19
  6. Step 6: Final answer
    x = 418.25

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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.