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Finding the Fourth Proportional to 346.01, 477.43 and 234.02

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Solution

The fourth proportional to 346.01, 477.43 and 234.02 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.01 : 477.43 = 234.02 : x
  2. Step 2: Convert to fraction form
    346.01/477.43 = 234.02/x
  3. Step 3: Cross multiply
    346.01x = 477.43 × 234.02
  4. Step 4: Simplify right side
    346.01x = 111,728.78
  5. Step 5: Solve for x
    x = 111,728.78/346.01
  6. Step 6: Final answer
    x = 322.91

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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.