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Finding the Fourth Proportional to 531.03, 732.67 and 309.90

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Solution

The fourth proportional to 531.03, 732.67 and 309.90 is: 427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.03 : 732.67 = 309.90 : x
  2. Step 2: Convert to fraction form
    531.03/732.67 = 309.90/x
  3. Step 3: Cross multiply
    531.03x = 732.67 × 309.90
  4. Step 4: Simplify right side
    531.03x = 227,054.43
  5. Step 5: Solve for x
    x = 227,054.43/531.03
  6. Step 6: Final answer
    x = 427.57

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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.