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Finding the Fourth Proportional to 384.21, 530.28 and 244.22

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Solution

The fourth proportional to 384.21, 530.28 and 244.22 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 530.28 = 244.22 : x
  2. Step 2: Convert to fraction form
    384.21/530.28 = 244.22/x
  3. Step 3: Cross multiply
    384.21x = 530.28 × 244.22
  4. Step 4: Simplify right side
    384.21x = 129,502.33
  5. Step 5: Solve for x
    x = 129,502.33/384.21
  6. Step 6: Final answer
    x = 337.06

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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.