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Finding the Fourth Proportional to 370.20, 554.69 and 261.77

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Solution

The fourth proportional to 370.20, 554.69 and 261.77 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.20 : 554.69 = 261.77 : x
  2. Step 2: Convert to fraction form
    370.20/554.69 = 261.77/x
  3. Step 3: Cross multiply
    370.20x = 554.69 × 261.77
  4. Step 4: Simplify right side
    370.20x = 145,199.08
  5. Step 5: Solve for x
    x = 145,199.08/370.20
  6. Step 6: Final answer
    x = 392.22

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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.