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Finding the Fourth Proportional to 354.08, 530.58 and 262.35

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Solution

The fourth proportional to 354.08, 530.58 and 262.35 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 530.58 = 262.35 : x
  2. Step 2: Convert to fraction form
    354.08/530.58 = 262.35/x
  3. Step 3: Cross multiply
    354.08x = 530.58 × 262.35
  4. Step 4: Simplify right side
    354.08x = 139,197.66
  5. Step 5: Solve for x
    x = 139,197.66/354.08
  6. Step 6: Final answer
    x = 393.12

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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.