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Finding the Fourth Proportional to 541.46, 810.88 and 309.64

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Solution

The fourth proportional to 541.46, 810.88 and 309.64 is: 463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 810.88 = 309.64 : x
  2. Step 2: Convert to fraction form
    541.46/810.88 = 309.64/x
  3. Step 3: Cross multiply
    541.46x = 810.88 × 309.64
  4. Step 4: Simplify right side
    541.46x = 251,082.28
  5. Step 5: Solve for x
    x = 251,082.28/541.46
  6. Step 6: Final answer
    x = 463.72

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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.