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Finding the Fourth Proportional to 383.80, 530.19 and 297.58

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Solution

The fourth proportional to 383.80, 530.19 and 297.58 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.80 : 530.19 = 297.58 : x
  2. Step 2: Convert to fraction form
    383.80/530.19 = 297.58/x
  3. Step 3: Cross multiply
    383.80x = 530.19 × 297.58
  4. Step 4: Simplify right side
    383.80x = 157,773.94
  5. Step 5: Solve for x
    x = 157,773.94/383.80
  6. Step 6: Final answer
    x = 411.08

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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.