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Finding the Fourth Proportional to 541.50, 811.36 and 346.15

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Solution

The fourth proportional to 541.50, 811.36 and 346.15 is: 518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.50 : 811.36 = 346.15 : x
  2. Step 2: Convert to fraction form
    541.50/811.36 = 346.15/x
  3. Step 3: Cross multiply
    541.50x = 811.36 × 346.15
  4. Step 4: Simplify right side
    541.50x = 280,852.26
  5. Step 5: Solve for x
    x = 280,852.26/541.50
  6. Step 6: Final answer
    x = 518.66

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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.