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Finding the Fourth Proportional to 895.14, 1,342.28 and 278.85

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Solution

The fourth proportional to 895.14, 1,342.28 and 278.85 is: 418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.14 : 1,342.28 = 278.85 : x
  2. Step 2: Convert to fraction form
    895.14/1,342.28 = 278.85/x
  3. Step 3: Cross multiply
    895.14x = 1,342.28 × 278.85
  4. Step 4: Simplify right side
    895.14x = 374,294.78
  5. Step 5: Solve for x
    x = 374,294.78/895.14
  6. Step 6: Final answer
    x = 418.14

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