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Finding the Fourth Proportional to 383.70, 530.02 and 297.48

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Solution

The fourth proportional to 383.70, 530.02 and 297.48 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.70 : 530.02 = 297.48 : x
  2. Step 2: Convert to fraction form
    383.70/530.02 = 297.48/x
  3. Step 3: Cross multiply
    383.70x = 530.02 × 297.48
  4. Step 4: Simplify right side
    383.70x = 157,670.35
  5. Step 5: Solve for x
    x = 157,670.35/383.70
  6. Step 6: Final answer
    x = 410.92

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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.