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Finding the Fourth Proportional to 390.82, 535.83 and 383.93

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Solution

The fourth proportional to 390.82, 535.83 and 383.93 is: 526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.82 : 535.83 = 383.93 : x
  2. Step 2: Convert to fraction form
    390.82/535.83 = 383.93/x
  3. Step 3: Cross multiply
    390.82x = 535.83 × 383.93
  4. Step 4: Simplify right side
    390.82x = 205,722.55
  5. Step 5: Solve for x
    x = 205,722.55/390.82
  6. Step 6: Final answer
    x = 526.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.