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Finding the Fourth Proportional to 428.86, 592.13 and 263.30

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Solution

The fourth proportional to 428.86, 592.13 and 263.30 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 592.13 = 263.30 : x
  2. Step 2: Convert to fraction form
    428.86/592.13 = 263.30/x
  3. Step 3: Cross multiply
    428.86x = 592.13 × 263.30
  4. Step 4: Simplify right side
    428.86x = 155,905.53
  5. Step 5: Solve for x
    x = 155,905.53/428.86
  6. Step 6: Final answer
    x = 363.54

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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.