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Finding the Fourth Proportional to 400.02, 597.33 and 358.62

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Solution

The fourth proportional to 400.02, 597.33 and 358.62 is: 535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 597.33 = 358.62 : x
  2. Step 2: Convert to fraction form
    400.02/597.33 = 358.62/x
  3. Step 3: Cross multiply
    400.02x = 597.33 × 358.62
  4. Step 4: Simplify right side
    400.02x = 214,214.48
  5. Step 5: Solve for x
    x = 214,214.48/400.02
  6. Step 6: Final answer
    x = 535.51

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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.