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Finding the Fourth Proportional to 346.40, 478.32 and 230.48

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Solution

The fourth proportional to 346.40, 478.32 and 230.48 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 478.32 = 230.48 : x
  2. Step 2: Convert to fraction form
    346.40/478.32 = 230.48/x
  3. Step 3: Cross multiply
    346.40x = 478.32 × 230.48
  4. Step 4: Simplify right side
    346.40x = 110,243.19
  5. Step 5: Solve for x
    x = 110,243.19/346.40
  6. Step 6: Final answer
    x = 318.25

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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.