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Finding the Fourth Proportional to 377.15, 564.51 and 246.10

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Solution

The fourth proportional to 377.15, 564.51 and 246.10 is: 368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.15 : 564.51 = 246.10 : x
  2. Step 2: Convert to fraction form
    377.15/564.51 = 246.10/x
  3. Step 3: Cross multiply
    377.15x = 564.51 × 246.10
  4. Step 4: Simplify right side
    377.15x = 138,923.09
  5. Step 5: Solve for x
    x = 138,923.09/377.15
  6. Step 6: Final answer
    x = 368.35

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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.