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Finding the Fourth Proportional to 400.60, 597.99 and 352

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Solution

The fourth proportional to 400.60, 597.99 and 352 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 597.99 = 352 : x
  2. Step 2: Convert to fraction form
    400.60/597.99 = 352/x
  3. Step 3: Cross multiply
    400.60x = 597.99 × 352
  4. Step 4: Simplify right side
    400.60x = 210,492.48
  5. Step 5: Solve for x
    x = 210,492.48/400.60
  6. Step 6: Final answer
    x = 525.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.