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Finding the Fourth Proportional to 346.47, 478 and 235.75

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Solution

The fourth proportional to 346.47, 478 and 235.75 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.47 : 478 = 235.75 : x
  2. Step 2: Convert to fraction form
    346.47/478 = 235.75/x
  3. Step 3: Cross multiply
    346.47x = 478 × 235.75
  4. Step 4: Simplify right side
    346.47x = 112,688.50
  5. Step 5: Solve for x
    x = 112,688.50/346.47
  6. Step 6: Final answer
    x = 325.25

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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.