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Finding the Fourth Proportional to 312.54, 430.59 and 242.35

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Solution

The fourth proportional to 312.54, 430.59 and 242.35 is: 333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 430.59 = 242.35 : x
  2. Step 2: Convert to fraction form
    312.54/430.59 = 242.35/x
  3. Step 3: Cross multiply
    312.54x = 430.59 × 242.35
  4. Step 4: Simplify right side
    312.54x = 104,353.32
  5. Step 5: Solve for x
    x = 104,353.32/312.54
  6. Step 6: Final answer
    x = 333.89

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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.