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Finding the Fourth Proportional to 312.52, 430.58 and 283.40

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Solution

The fourth proportional to 312.52, 430.58 and 283.40 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 430.58 = 283.40 : x
  2. Step 2: Convert to fraction form
    312.52/430.58 = 283.40/x
  3. Step 3: Cross multiply
    312.52x = 430.58 × 283.40
  4. Step 4: Simplify right side
    312.52x = 122,026.37
  5. Step 5: Solve for x
    x = 122,026.37/312.52
  6. Step 6: Final answer
    x = 390.46

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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.