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Finding the Fourth Proportional to 357.80, 493.64 and 210.40

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Solution

The fourth proportional to 357.80, 493.64 and 210.40 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 493.64 = 210.40 : x
  2. Step 2: Convert to fraction form
    357.80/493.64 = 210.40/x
  3. Step 3: Cross multiply
    357.80x = 493.64 × 210.40
  4. Step 4: Simplify right side
    357.80x = 103,861.86
  5. Step 5: Solve for x
    x = 103,861.86/357.80
  6. Step 6: Final answer
    x = 290.28

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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.