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Finding the Fourth Proportional to 530.39, 731.63 and 320.49

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Solution

The fourth proportional to 530.39, 731.63 and 320.49 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.39 : 731.63 = 320.49 : x
  2. Step 2: Convert to fraction form
    530.39/731.63 = 320.49/x
  3. Step 3: Cross multiply
    530.39x = 731.63 × 320.49
  4. Step 4: Simplify right side
    530.39x = 234,482.84
  5. Step 5: Solve for x
    x = 234,482.84/530.39
  6. Step 6: Final answer
    x = 442.10

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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.