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Finding the Fourth Proportional to 377.12, 566.06 and 279.28

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Solution

The fourth proportional to 377.12, 566.06 and 279.28 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 566.06 = 279.28 : x
  2. Step 2: Convert to fraction form
    377.12/566.06 = 279.28/x
  3. Step 3: Cross multiply
    377.12x = 566.06 × 279.28
  4. Step 4: Simplify right side
    377.12x = 158,089.24
  5. Step 5: Solve for x
    x = 158,089.24/377.12
  6. Step 6: Final answer
    x = 419.20

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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.