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Finding the Fourth Proportional to 377.80, 563.26 and 368.32

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Solution

The fourth proportional to 377.80, 563.26 and 368.32 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.80 : 563.26 = 368.32 : x
  2. Step 2: Convert to fraction form
    377.80/563.26 = 368.32/x
  3. Step 3: Cross multiply
    377.80x = 563.26 × 368.32
  4. Step 4: Simplify right side
    377.80x = 207,459.92
  5. Step 5: Solve for x
    x = 207,459.92/377.80
  6. Step 6: Final answer
    x = 549.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.