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Finding the Fourth Proportional to 383.88, 530.10 and 297.12

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Solution

The fourth proportional to 383.88, 530.10 and 297.12 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.88 : 530.10 = 297.12 : x
  2. Step 2: Convert to fraction form
    383.88/530.10 = 297.12/x
  3. Step 3: Cross multiply
    383.88x = 530.10 × 297.12
  4. Step 4: Simplify right side
    383.88x = 157,503.31
  5. Step 5: Solve for x
    x = 157,503.31/383.88
  6. Step 6: Final answer
    x = 410.29

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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.