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Finding the Fourth Proportional to 837.21, 1,256.10 and 260.10

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Solution

The fourth proportional to 837.21, 1,256.10 and 260.10 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.21 : 1,256.10 = 260.10 : x
  2. Step 2: Convert to fraction form
    837.21/1,256.10 = 260.10/x
  3. Step 3: Cross multiply
    837.21x = 1,256.10 × 260.10
  4. Step 4: Simplify right side
    837.21x = 326,711.61
  5. Step 5: Solve for x
    x = 326,711.61/837.21
  6. Step 6: Final answer
    x = 390.24

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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.