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Finding the Fourth Proportional to 530.45, 732.14 and 309.43

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Solution

The fourth proportional to 530.45, 732.14 and 309.43 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 732.14 = 309.43 : x
  2. Step 2: Convert to fraction form
    530.45/732.14 = 309.43/x
  3. Step 3: Cross multiply
    530.45x = 732.14 × 309.43
  4. Step 4: Simplify right side
    530.45x = 226,542.49
  5. Step 5: Solve for x
    x = 226,542.49/530.45
  6. Step 6: Final answer
    x = 427.07

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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.