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Finding the Fourth Proportional to 290.77, 433.90 and 260

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Solution

The fourth proportional to 290.77, 433.90 and 260 is: 387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.77 : 433.90 = 260 : x
  2. Step 2: Convert to fraction form
    290.77/433.90 = 260/x
  3. Step 3: Cross multiply
    290.77x = 433.90 × 260
  4. Step 4: Simplify right side
    290.77x = 112,814
  5. Step 5: Solve for x
    x = 112,814/290.77
  6. Step 6: Final answer
    x = 387.98

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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.