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Finding the Fourth Proportional to 459.55, 634.11 and 263.06

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Solution

The fourth proportional to 459.55, 634.11 and 263.06 is: 362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.55 : 634.11 = 263.06 : x
  2. Step 2: Convert to fraction form
    459.55/634.11 = 263.06/x
  3. Step 3: Cross multiply
    459.55x = 634.11 × 263.06
  4. Step 4: Simplify right side
    459.55x = 166,810.76
  5. Step 5: Solve for x
    x = 166,810.76/459.55
  6. Step 6: Final answer
    x = 362.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.