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Finding the Fourth Proportional to 541.16, 810.20 and 376.28

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Solution

The fourth proportional to 541.16, 810.20 and 376.28 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.16 : 810.20 = 376.28 : x
  2. Step 2: Convert to fraction form
    541.16/810.20 = 376.28/x
  3. Step 3: Cross multiply
    541.16x = 810.20 × 376.28
  4. Step 4: Simplify right side
    541.16x = 304,862.06
  5. Step 5: Solve for x
    x = 304,862.06/541.16
  6. Step 6: Final answer
    x = 563.35

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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.