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Finding the Fourth Proportional to 356.96, 536.64 and 284.74

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Solution

The fourth proportional to 356.96, 536.64 and 284.74 is: 428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 536.64 = 284.74 : x
  2. Step 2: Convert to fraction form
    356.96/536.64 = 284.74/x
  3. Step 3: Cross multiply
    356.96x = 536.64 × 284.74
  4. Step 4: Simplify right side
    356.96x = 152,801.45
  5. Step 5: Solve for x
    x = 152,801.45/356.96
  6. Step 6: Final answer
    x = 428.07

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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.