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Finding the Fourth Proportional to 377.48, 565.42 and 373.16

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Solution

The fourth proportional to 377.48, 565.42 and 373.16 is: 558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.48 : 565.42 = 373.16 : x
  2. Step 2: Convert to fraction form
    377.48/565.42 = 373.16/x
  3. Step 3: Cross multiply
    377.48x = 565.42 × 373.16
  4. Step 4: Simplify right side
    377.48x = 210,992.13
  5. Step 5: Solve for x
    x = 210,992.13/377.48
  6. Step 6: Final answer
    x = 558.95

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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.