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Finding the Fourth Proportional to 383.90, 530.22 and 253.49

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Solution

The fourth proportional to 383.90, 530.22 and 253.49 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.90 : 530.22 = 253.49 : x
  2. Step 2: Convert to fraction form
    383.90/530.22 = 253.49/x
  3. Step 3: Cross multiply
    383.90x = 530.22 × 253.49
  4. Step 4: Simplify right side
    383.90x = 134,405.47
  5. Step 5: Solve for x
    x = 134,405.47/383.90
  6. Step 6: Final answer
    x = 350.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.