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Finding the Fourth Proportional to 364.90, 502.87 and 259.99

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Solution

The fourth proportional to 364.90, 502.87 and 259.99 is: 358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 502.87 = 259.99 : x
  2. Step 2: Convert to fraction form
    364.90/502.87 = 259.99/x
  3. Step 3: Cross multiply
    364.90x = 502.87 × 259.99
  4. Step 4: Simplify right side
    364.90x = 130,741.17
  5. Step 5: Solve for x
    x = 130,741.17/364.90
  6. Step 6: Final answer
    x = 358.29

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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.