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Finding the Fourth Proportional to 346.49, 477.71 and 289.74

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Solution

The fourth proportional to 346.49, 477.71 and 289.74 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.49 : 477.71 = 289.74 : x
  2. Step 2: Convert to fraction form
    346.49/477.71 = 289.74/x
  3. Step 3: Cross multiply
    346.49x = 477.71 × 289.74
  4. Step 4: Simplify right side
    346.49x = 138,411.70
  5. Step 5: Solve for x
    x = 138,411.70/346.49
  6. Step 6: Final answer
    x = 399.47

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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.