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Finding the Fourth Proportional to 541.47, 812.13 and 309.61

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Solution

The fourth proportional to 541.47, 812.13 and 309.61 is: 464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.47 : 812.13 = 309.61 : x
  2. Step 2: Convert to fraction form
    541.47/812.13 = 309.61/x
  3. Step 3: Cross multiply
    541.47x = 812.13 × 309.61
  4. Step 4: Simplify right side
    541.47x = 251,439.51
  5. Step 5: Solve for x
    x = 251,439.51/541.47
  6. Step 6: Final answer
    x = 464.36

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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.