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Finding the Fourth Proportional to 530.94, 732.71 and 321.15

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Solution

The fourth proportional to 530.94, 732.71 and 321.15 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 732.71 = 321.15 : x
  2. Step 2: Convert to fraction form
    530.94/732.71 = 321.15/x
  3. Step 3: Cross multiply
    530.94x = 732.71 × 321.15
  4. Step 4: Simplify right side
    530.94x = 235,312.51
  5. Step 5: Solve for x
    x = 235,312.51/530.94
  6. Step 6: Final answer
    x = 443.20

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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.