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Finding the Fourth Proportional to 344.79, 475.47 and 292.28

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Solution

The fourth proportional to 344.79, 475.47 and 292.28 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 475.47 = 292.28 : x
  2. Step 2: Convert to fraction form
    344.79/475.47 = 292.28/x
  3. Step 3: Cross multiply
    344.79x = 475.47 × 292.28
  4. Step 4: Simplify right side
    344.79x = 138,967.99
  5. Step 5: Solve for x
    x = 138,967.99/344.79
  6. Step 6: Final answer
    x = 403.05

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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.