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Finding the Fourth Proportional to 370.10, 553.91 and 278.16

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Solution

The fourth proportional to 370.10, 553.91 and 278.16 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 553.91 = 278.16 : x
  2. Step 2: Convert to fraction form
    370.10/553.91 = 278.16/x
  3. Step 3: Cross multiply
    370.10x = 553.91 × 278.16
  4. Step 4: Simplify right side
    370.10x = 154,074.21
  5. Step 5: Solve for x
    x = 154,074.21/370.10
  6. Step 6: Final answer
    x = 416.31

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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.