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Finding the Fourth Proportional to 340.32, 510.39 and 192.13

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Solution

The fourth proportional to 340.32, 510.39 and 192.13 is: 288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 510.39 = 192.13 : x
  2. Step 2: Convert to fraction form
    340.32/510.39 = 192.13/x
  3. Step 3: Cross multiply
    340.32x = 510.39 × 192.13
  4. Step 4: Simplify right side
    340.32x = 98,063.38
  5. Step 5: Solve for x
    x = 98,063.38/340.32
  6. Step 6: Final answer
    x = 288.15

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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.