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Finding the Fourth Proportional to 354.45, 530.63 and 263.55

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Solution

The fourth proportional to 354.45, 530.63 and 263.55 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.45 : 530.63 = 263.55 : x
  2. Step 2: Convert to fraction form
    354.45/530.63 = 263.55/x
  3. Step 3: Cross multiply
    354.45x = 530.63 × 263.55
  4. Step 4: Simplify right side
    354.45x = 139,846.22
  5. Step 5: Solve for x
    x = 139,846.22/354.45
  6. Step 6: Final answer
    x = 394.54

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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.