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Finding the Fourth Proportional to 357.40, 536.10 and 213.40

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Solution

The fourth proportional to 357.40, 536.10 and 213.40 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 536.10 = 213.40 : x
  2. Step 2: Convert to fraction form
    357.40/536.10 = 213.40/x
  3. Step 3: Cross multiply
    357.40x = 536.10 × 213.40
  4. Step 4: Simplify right side
    357.40x = 114,403.74
  5. Step 5: Solve for x
    x = 114,403.74/357.40
  6. Step 6: Final answer
    x = 320.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.