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Finding the Fourth Proportional to 336.26, 505.59 and 309.53

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Solution

The fourth proportional to 336.26, 505.59 and 309.53 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.26 : 505.59 = 309.53 : x
  2. Step 2: Convert to fraction form
    336.26/505.59 = 309.53/x
  3. Step 3: Cross multiply
    336.26x = 505.59 × 309.53
  4. Step 4: Simplify right side
    336.26x = 156,492.74
  5. Step 5: Solve for x
    x = 156,492.74/336.26
  6. Step 6: Final answer
    x = 465.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.