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Finding the Fourth Proportional to 432.40, 651.12 and 311.50

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Solution

The fourth proportional to 432.40, 651.12 and 311.50 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 651.12 = 311.50 : x
  2. Step 2: Convert to fraction form
    432.40/651.12 = 311.50/x
  3. Step 3: Cross multiply
    432.40x = 651.12 × 311.50
  4. Step 4: Simplify right side
    432.40x = 202,823.88
  5. Step 5: Solve for x
    x = 202,823.88/432.40
  6. Step 6: Final answer
    x = 469.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.