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Finding the Fourth Proportional to 530.76, 732.46 and 297.90

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Solution

The fourth proportional to 530.76, 732.46 and 297.90 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.46 = 297.90 : x
  2. Step 2: Convert to fraction form
    530.76/732.46 = 297.90/x
  3. Step 3: Cross multiply
    530.76x = 732.46 × 297.90
  4. Step 4: Simplify right side
    530.76x = 218,199.83
  5. Step 5: Solve for x
    x = 218,199.83/530.76
  6. Step 6: Final answer
    x = 411.11

Related Problems

Find fourth proportional to 265.38, 366.23 and 148.95
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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.