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Finding the Fourth Proportional to 285.21, 425.51 and 242.19

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Solution

The fourth proportional to 285.21, 425.51 and 242.19 is: 361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.21 : 425.51 = 242.19 : x
  2. Step 2: Convert to fraction form
    285.21/425.51 = 242.19/x
  3. Step 3: Cross multiply
    285.21x = 425.51 × 242.19
  4. Step 4: Simplify right side
    285.21x = 103,054.87
  5. Step 5: Solve for x
    x = 103,054.87/285.21
  6. Step 6: Final answer
    x = 361.33

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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.