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Finding the Fourth Proportional to 291.16, 433.80 and 277.40

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Solution

The fourth proportional to 291.16, 433.80 and 277.40 is: 413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 433.80 = 277.40 : x
  2. Step 2: Convert to fraction form
    291.16/433.80 = 277.40/x
  3. Step 3: Cross multiply
    291.16x = 433.80 × 277.40
  4. Step 4: Simplify right side
    291.16x = 120,336.12
  5. Step 5: Solve for x
    x = 120,336.12/291.16
  6. Step 6: Final answer
    x = 413.30

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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.