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Finding the Fourth Proportional to 358.50, 536.52 and 213.50

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Solution

The fourth proportional to 358.50, 536.52 and 213.50 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 536.52 = 213.50 : x
  2. Step 2: Convert to fraction form
    358.50/536.52 = 213.50/x
  3. Step 3: Cross multiply
    358.50x = 536.52 × 213.50
  4. Step 4: Simplify right side
    358.50x = 114,547.02
  5. Step 5: Solve for x
    x = 114,547.02/358.50
  6. Step 6: Final answer
    x = 319.52

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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.