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Finding the Fourth Proportional to 366.16, 507.66 and 354.16

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Solution

The fourth proportional to 366.16, 507.66 and 354.16 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 507.66 = 354.16 : x
  2. Step 2: Convert to fraction form
    366.16/507.66 = 354.16/x
  3. Step 3: Cross multiply
    366.16x = 507.66 × 354.16
  4. Step 4: Simplify right side
    366.16x = 179,792.87
  5. Step 5: Solve for x
    x = 179,792.87/366.16
  6. Step 6: Final answer
    x = 491.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.