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Finding the Fourth Proportional to 389.35, 536.52 and 284.23

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Solution

The fourth proportional to 389.35, 536.52 and 284.23 is: 391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.35 : 536.52 = 284.23 : x
  2. Step 2: Convert to fraction form
    389.35/536.52 = 284.23/x
  3. Step 3: Cross multiply
    389.35x = 536.52 × 284.23
  4. Step 4: Simplify right side
    389.35x = 152,495.08
  5. Step 5: Solve for x
    x = 152,495.08/389.35
  6. Step 6: Final answer
    x = 391.67

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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.