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Finding the Fourth Proportional to 388.72, 533.45 and 346.96

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Solution

The fourth proportional to 388.72, 533.45 and 346.96 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.72 : 533.45 = 346.96 : x
  2. Step 2: Convert to fraction form
    388.72/533.45 = 346.96/x
  3. Step 3: Cross multiply
    388.72x = 533.45 × 346.96
  4. Step 4: Simplify right side
    388.72x = 185,085.81
  5. Step 5: Solve for x
    x = 185,085.81/388.72
  6. Step 6: Final answer
    x = 476.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.