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Finding the Fourth Proportional to 370, 510.24 and 304.32

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Solution

The fourth proportional to 370, 510.24 and 304.32 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370 : 510.24 = 304.32 : x
  2. Step 2: Convert to fraction form
    370/510.24 = 304.32/x
  3. Step 3: Cross multiply
    370x = 510.24 × 304.32
  4. Step 4: Simplify right side
    370x = 155,276.24
  5. Step 5: Solve for x
    x = 155,276.24/370
  6. Step 6: Final answer
    x = 419.67

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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.