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Finding the Fourth Proportional to 532.00, 734.16 and 310.94

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Solution

The fourth proportional to 532.00, 734.16 and 310.94 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.00 : 734.16 = 310.94 : x
  2. Step 2: Convert to fraction form
    532.00/734.16 = 310.94/x
  3. Step 3: Cross multiply
    532.00x = 734.16 × 310.94
  4. Step 4: Simplify right side
    532.00x = 228,279.96
  5. Step 5: Solve for x
    x = 228,279.96/532.00
  6. Step 6: Final answer
    x = 429.10

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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.