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Finding the Fourth Proportional to 341.47, 511.05 and 328.71

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Solution

The fourth proportional to 341.47, 511.05 and 328.71 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.47 : 511.05 = 328.71 : x
  2. Step 2: Convert to fraction form
    341.47/511.05 = 328.71/x
  3. Step 3: Cross multiply
    341.47x = 511.05 × 328.71
  4. Step 4: Simplify right side
    341.47x = 167,987.25
  5. Step 5: Solve for x
    x = 167,987.25/341.47
  6. Step 6: Final answer
    x = 491.95

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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.