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Finding the Fourth Proportional to 383.81, 530.43 and 290.52

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Solution

The fourth proportional to 383.81, 530.43 and 290.52 is: 401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.81 : 530.43 = 290.52 : x
  2. Step 2: Convert to fraction form
    383.81/530.43 = 290.52/x
  3. Step 3: Cross multiply
    383.81x = 530.43 × 290.52
  4. Step 4: Simplify right side
    383.81x = 154,100.52
  5. Step 5: Solve for x
    x = 154,100.52/383.81
  6. Step 6: Final answer
    x = 401.50

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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.