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Finding the Fourth Proportional to 346.76, 478.40 and 230.25

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Solution

The fourth proportional to 346.76, 478.40 and 230.25 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.76 : 478.40 = 230.25 : x
  2. Step 2: Convert to fraction form
    346.76/478.40 = 230.25/x
  3. Step 3: Cross multiply
    346.76x = 478.40 × 230.25
  4. Step 4: Simplify right side
    346.76x = 110,150.45
  5. Step 5: Solve for x
    x = 110,150.45/346.76
  6. Step 6: Final answer
    x = 317.66

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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.