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Finding the Fourth Proportional to 530.00, 731.32 and 309

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Solution

The fourth proportional to 530.00, 731.32 and 309 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.00 : 731.32 = 309 : x
  2. Step 2: Convert to fraction form
    530.00/731.32 = 309/x
  3. Step 3: Cross multiply
    530.00x = 731.32 × 309
  4. Step 4: Simplify right side
    530.00x = 225,977.11
  5. Step 5: Solve for x
    x = 225,977.11/530.00
  6. Step 6: Final answer
    x = 426.38

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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.