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Finding the Fourth Proportional to 602.13, 903.22 and 260.13

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Solution

The fourth proportional to 602.13, 903.22 and 260.13 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.13 : 903.22 = 260.13 : x
  2. Step 2: Convert to fraction form
    602.13/903.22 = 260.13/x
  3. Step 3: Cross multiply
    602.13x = 903.22 × 260.13
  4. Step 4: Simplify right side
    602.13x = 234,954.62
  5. Step 5: Solve for x
    x = 234,954.62/602.13
  6. Step 6: Final answer
    x = 390.21

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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.