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Finding the Fourth Proportional to 340.61, 510.86 and 158.00

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Solution

The fourth proportional to 340.61, 510.86 and 158.00 is: 236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 510.86 = 158.00 : x
  2. Step 2: Convert to fraction form
    340.61/510.86 = 158.00/x
  3. Step 3: Cross multiply
    340.61x = 510.86 × 158.00
  4. Step 4: Simplify right side
    340.61x = 80,713.72
  5. Step 5: Solve for x
    x = 80,713.72/340.61
  6. Step 6: Final answer
    x = 236.97

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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.