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Finding the Fourth Proportional to 289.47, 431.63 and 277.32

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Solution

The fourth proportional to 289.47, 431.63 and 277.32 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 431.63 = 277.32 : x
  2. Step 2: Convert to fraction form
    289.47/431.63 = 277.32/x
  3. Step 3: Cross multiply
    289.47x = 431.63 × 277.32
  4. Step 4: Simplify right side
    289.47x = 119,700.90
  5. Step 5: Solve for x
    x = 119,700.90/289.47
  6. Step 6: Final answer
    x = 413.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.