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Finding the Fourth Proportional to 354.42, 530.28 and 262.62

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Solution

The fourth proportional to 354.42, 530.28 and 262.62 is: 392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 530.28 = 262.62 : x
  2. Step 2: Convert to fraction form
    354.42/530.28 = 262.62/x
  3. Step 3: Cross multiply
    354.42x = 530.28 × 262.62
  4. Step 4: Simplify right side
    354.42x = 139,262.13
  5. Step 5: Solve for x
    x = 139,262.13/354.42
  6. Step 6: Final answer
    x = 392.93

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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.