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Finding the Fourth Proportional to 531.01, 732.73 and 309.93

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Solution

The fourth proportional to 531.01, 732.73 and 309.93 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.01 : 732.73 = 309.93 : x
  2. Step 2: Convert to fraction form
    531.01/732.73 = 309.93/x
  3. Step 3: Cross multiply
    531.01x = 732.73 × 309.93
  4. Step 4: Simplify right side
    531.01x = 227,094.23
  5. Step 5: Solve for x
    x = 227,094.23/531.01
  6. Step 6: Final answer
    x = 427.66

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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.