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Finding the Fourth Proportional to 341.46, 510.05 and 286.79

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Solution

The fourth proportional to 341.46, 510.05 and 286.79 is: 428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 510.05 = 286.79 : x
  2. Step 2: Convert to fraction form
    341.46/510.05 = 286.79/x
  3. Step 3: Cross multiply
    341.46x = 510.05 × 286.79
  4. Step 4: Simplify right side
    341.46x = 146,275.41
  5. Step 5: Solve for x
    x = 146,275.41/341.46
  6. Step 6: Final answer
    x = 428.38

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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.