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Finding the Fourth Proportional to 384.89, 531.16 and 210.24

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Solution

The fourth proportional to 384.89, 531.16 and 210.24 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.89 : 531.16 = 210.24 : x
  2. Step 2: Convert to fraction form
    384.89/531.16 = 210.24/x
  3. Step 3: Cross multiply
    384.89x = 531.16 × 210.24
  4. Step 4: Simplify right side
    384.89x = 111,670.55
  5. Step 5: Solve for x
    x = 111,670.55/384.89
  6. Step 6: Final answer
    x = 290.14

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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.