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Finding the Fourth Proportional to 384.80, 531.04 and 210.15

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Solution

The fourth proportional to 384.80, 531.04 and 210.15 is: 290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 531.04 = 210.15 : x
  2. Step 2: Convert to fraction form
    384.80/531.04 = 210.15/x
  3. Step 3: Cross multiply
    384.80x = 531.04 × 210.15
  4. Step 4: Simplify right side
    384.80x = 111,597.53
  5. Step 5: Solve for x
    x = 111,597.53/384.80
  6. Step 6: Final answer
    x = 290.01

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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.