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Finding the Fourth Proportional to 345.78, 477.81 and 328.91

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Solution

The fourth proportional to 345.78, 477.81 and 328.91 is: 454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 477.81 = 328.91 : x
  2. Step 2: Convert to fraction form
    345.78/477.81 = 328.91/x
  3. Step 3: Cross multiply
    345.78x = 477.81 × 328.91
  4. Step 4: Simplify right side
    345.78x = 157,154.10
  5. Step 5: Solve for x
    x = 157,154.10/345.78
  6. Step 6: Final answer
    x = 454.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.