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Finding the Fourth Proportional to 346.30, 477.30 and 235.72

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Solution

The fourth proportional to 346.30, 477.30 and 235.72 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 477.30 = 235.72 : x
  2. Step 2: Convert to fraction form
    346.30/477.30 = 235.72/x
  3. Step 3: Cross multiply
    346.30x = 477.30 × 235.72
  4. Step 4: Simplify right side
    346.30x = 112,509.16
  5. Step 5: Solve for x
    x = 112,509.16/346.30
  6. Step 6: Final answer
    x = 324.89

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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.