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Finding the Fourth Proportional to 860.21, 1,289.93 and 243.77

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Solution

The fourth proportional to 860.21, 1,289.93 and 243.77 is: 365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.21 : 1,289.93 = 243.77 : x
  2. Step 2: Convert to fraction form
    860.21/1,289.93 = 243.77/x
  3. Step 3: Cross multiply
    860.21x = 1,289.93 × 243.77
  4. Step 4: Simplify right side
    860.21x = 314,446.24
  5. Step 5: Solve for x
    x = 314,446.24/860.21
  6. Step 6: Final answer
    x = 365.55

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1.5x scale

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.