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Finding the Fourth Proportional to 312.16, 430.36 and 253

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Solution

The fourth proportional to 312.16, 430.36 and 253 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.16 : 430.36 = 253 : x
  2. Step 2: Convert to fraction form
    312.16/430.36 = 253/x
  3. Step 3: Cross multiply
    312.16x = 430.36 × 253
  4. Step 4: Simplify right side
    312.16x = 108,881.08
  5. Step 5: Solve for x
    x = 108,881.08/312.16
  6. Step 6: Final answer
    x = 348.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.