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Finding the Fourth Proportional to 341.73, 510.42 and 309.18

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Solution

The fourth proportional to 341.73, 510.42 and 309.18 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.73 : 510.42 = 309.18 : x
  2. Step 2: Convert to fraction form
    341.73/510.42 = 309.18/x
  3. Step 3: Cross multiply
    341.73x = 510.42 × 309.18
  4. Step 4: Simplify right side
    341.73x = 157,811.66
  5. Step 5: Solve for x
    x = 157,811.66/341.73
  6. Step 6: Final answer
    x = 461.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.