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Finding the Fourth Proportional to 400.53, 597.60 and 356.67

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Solution

The fourth proportional to 400.53, 597.60 and 356.67 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.53 : 597.60 = 356.67 : x
  2. Step 2: Convert to fraction form
    400.53/597.60 = 356.67/x
  3. Step 3: Cross multiply
    400.53x = 597.60 × 356.67
  4. Step 4: Simplify right side
    400.53x = 213,145.99
  5. Step 5: Solve for x
    x = 213,145.99/400.53
  6. Step 6: Final answer
    x = 532.16

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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.