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Finding the Fourth Proportional to 314.94, 471.68 and 276.01

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Solution

The fourth proportional to 314.94, 471.68 and 276.01 is: 413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 471.68 = 276.01 : x
  2. Step 2: Convert to fraction form
    314.94/471.68 = 276.01/x
  3. Step 3: Cross multiply
    314.94x = 471.68 × 276.01
  4. Step 4: Simplify right side
    314.94x = 130,189.18
  5. Step 5: Solve for x
    x = 130,189.18/314.94
  6. Step 6: Final answer
    x = 413.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.