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Finding the Fourth Proportional to 927.36, 1,391 and 278.10

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Solution

The fourth proportional to 927.36, 1,391 and 278.10 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.36 : 1,391 = 278.10 : x
  2. Step 2: Convert to fraction form
    927.36/1,391 = 278.10/x
  3. Step 3: Cross multiply
    927.36x = 1,391 × 278.10
  4. Step 4: Simplify right side
    927.36x = 386,837.10
  5. Step 5: Solve for x
    x = 386,837.10/927.36
  6. Step 6: Final answer
    x = 417.14

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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.