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Finding the Fourth Proportional to 364.95, 502.47 and 309.60

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Solution

The fourth proportional to 364.95, 502.47 and 309.60 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 502.47 = 309.60 : x
  2. Step 2: Convert to fraction form
    364.95/502.47 = 309.60/x
  3. Step 3: Cross multiply
    364.95x = 502.47 × 309.60
  4. Step 4: Simplify right side
    364.95x = 155,564.71
  5. Step 5: Solve for x
    x = 155,564.71/364.95
  6. Step 6: Final answer
    x = 426.26

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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.