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Finding the Fourth Proportional to 364.69, 503.58 and 309.61

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Solution

The fourth proportional to 364.69, 503.58 and 309.61 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.69 : 503.58 = 309.61 : x
  2. Step 2: Convert to fraction form
    364.69/503.58 = 309.61/x
  3. Step 3: Cross multiply
    364.69x = 503.58 × 309.61
  4. Step 4: Simplify right side
    364.69x = 155,913.40
  5. Step 5: Solve for x
    x = 155,913.40/364.69
  6. Step 6: Final answer
    x = 427.52

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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.