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Finding the Fourth Proportional to 340.61, 510.78 and 178.19

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Solution

The fourth proportional to 340.61, 510.78 and 178.19 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 510.78 = 178.19 : x
  2. Step 2: Convert to fraction form
    340.61/510.78 = 178.19/x
  3. Step 3: Cross multiply
    340.61x = 510.78 × 178.19
  4. Step 4: Simplify right side
    340.61x = 91,015.89
  5. Step 5: Solve for x
    x = 91,015.89/340.61
  6. Step 6: Final answer
    x = 267.21

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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.