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Finding the Fourth Proportional to 530.53, 732.12 and 309.50

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Solution

The fourth proportional to 530.53, 732.12 and 309.50 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 732.12 = 309.50 : x
  2. Step 2: Convert to fraction form
    530.53/732.12 = 309.50/x
  3. Step 3: Cross multiply
    530.53x = 732.12 × 309.50
  4. Step 4: Simplify right side
    530.53x = 226,589.06
  5. Step 5: Solve for x
    x = 226,589.06/530.53
  6. Step 6: Final answer
    x = 427.10

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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.