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Finding the Fourth Proportional to 400.84, 598.70 and 346.16

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Solution

The fourth proportional to 400.84, 598.70 and 346.16 is: 517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 598.70 = 346.16 : x
  2. Step 2: Convert to fraction form
    400.84/598.70 = 346.16/x
  3. Step 3: Cross multiply
    400.84x = 598.70 × 346.16
  4. Step 4: Simplify right side
    400.84x = 207,245.99
  5. Step 5: Solve for x
    x = 207,245.99/400.84
  6. Step 6: Final answer
    x = 517.03

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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.