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Finding the Fourth Proportional to 365.64, 505.14 and 310.94

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Solution

The fourth proportional to 365.64, 505.14 and 310.94 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 505.14 = 310.94 : x
  2. Step 2: Convert to fraction form
    365.64/505.14 = 310.94/x
  3. Step 3: Cross multiply
    365.64x = 505.14 × 310.94
  4. Step 4: Simplify right side
    365.64x = 157,068.23
  5. Step 5: Solve for x
    x = 157,068.23/365.64
  6. Step 6: Final answer
    x = 429.57

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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.