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Finding the Fourth Proportional to 402.95, 555.90 and 263.02

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Solution

The fourth proportional to 402.95, 555.90 and 263.02 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.95 : 555.90 = 263.02 : x
  2. Step 2: Convert to fraction form
    402.95/555.90 = 263.02/x
  3. Step 3: Cross multiply
    402.95x = 555.90 × 263.02
  4. Step 4: Simplify right side
    402.95x = 146,210.88
  5. Step 5: Solve for x
    x = 146,210.88/402.95
  6. Step 6: Final answer
    x = 362.85

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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.