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Finding the Fourth Proportional to 383.98, 530.16 and 279.16

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Solution

The fourth proportional to 383.98, 530.16 and 279.16 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 530.16 = 279.16 : x
  2. Step 2: Convert to fraction form
    383.98/530.16 = 279.16/x
  3. Step 3: Cross multiply
    383.98x = 530.16 × 279.16
  4. Step 4: Simplify right side
    383.98x = 147,999.47
  5. Step 5: Solve for x
    x = 147,999.47/383.98
  6. Step 6: Final answer
    x = 385.44

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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.