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Finding the Fourth Proportional to 314.60, 471.86 and 152.40

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Solution

The fourth proportional to 314.60, 471.86 and 152.40 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 471.86 = 152.40 : x
  2. Step 2: Convert to fraction form
    314.60/471.86 = 152.40/x
  3. Step 3: Cross multiply
    314.60x = 471.86 × 152.40
  4. Step 4: Simplify right side
    314.60x = 71,911.46
  5. Step 5: Solve for x
    x = 71,911.46/314.60
  6. Step 6: Final answer
    x = 228.58

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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.