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Finding the Fourth Proportional to 262.83, 392.47 and 228.67

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Solution

The fourth proportional to 262.83, 392.47 and 228.67 is: 341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 392.47 = 228.67 : x
  2. Step 2: Convert to fraction form
    262.83/392.47 = 228.67/x
  3. Step 3: Cross multiply
    262.83x = 392.47 × 228.67
  4. Step 4: Simplify right side
    262.83x = 89,746.11
  5. Step 5: Solve for x
    x = 89,746.11/262.83
  6. Step 6: Final answer
    x = 341.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.