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Finding the Fourth Proportional to 390.68, 535.95 and 384.20

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Solution

The fourth proportional to 390.68, 535.95 and 384.20 is: 527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.68 : 535.95 = 384.20 : x
  2. Step 2: Convert to fraction form
    390.68/535.95 = 384.20/x
  3. Step 3: Cross multiply
    390.68x = 535.95 × 384.20
  4. Step 4: Simplify right side
    390.68x = 205,911.99
  5. Step 5: Solve for x
    x = 205,911.99/390.68
  6. Step 6: Final answer
    x = 527.06

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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.