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Finding the Fourth Proportional to 390.02, 537.86 and 259.10

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Solution

The fourth proportional to 390.02, 537.86 and 259.10 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 537.86 = 259.10 : x
  2. Step 2: Convert to fraction form
    390.02/537.86 = 259.10/x
  3. Step 3: Cross multiply
    390.02x = 537.86 × 259.10
  4. Step 4: Simplify right side
    390.02x = 139,359.53
  5. Step 5: Solve for x
    x = 139,359.53/390.02
  6. Step 6: Final answer
    x = 357.31

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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.